Interactive Real Analysis
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Real Analysis
1. Sets and Relations
2. Infinity and Induction
2.1. Countable Infinity
2.2. Uncountable Infinity
2.3. The Principle of Induction
2.4. The Real Number System
2.5. Pi and e are irrational
3. Sequences of Numbers
4. Series of Numbers
5. Topology
6. Limits, Continuity, and Differentiation
7. The Integral
8. Sequences of Functions
9. Historical Tidbits
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2.4. The Real Number System
Theorem: R via Equivalence Classes of Cauchy Sequences
Will be completed later, sorry.
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